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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 443 · 40 sums
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The method (Grow it every year): Year by year: new amount = amount × (100 + R) ÷ 100. Amount after T years = P × (1 + R/100)ᵀ; compound interest = amount − P. A value falling by R% each year: × (100 − R) ÷ 100 every year. For 2 years, CI − SI = P × R × R ÷ 10000.

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  1. 1.A town has 21000 people. The population grows by 10% every year. What will the population be after 1 year?
  2. 2.A town has 16000 people. The population grows by 5% every year. What will the population be after 3 years?
  3. 3.What is the difference between the compound interest and the simple interest on ₹32500 at 8% per year for 2 years (in ₹)?
  4. 4.Find the compound interest on ₹47500 at 12% per year for 2 years, compounded every year (in ₹).
  5. 5.A scooter is worth ₹9200. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  6. 6.Find the compound interest on ₹4000 at 10% per year for 3 years, compounded every year (in ₹).
  7. 7.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
  8. 8.Find the compound interest on ₹25900 at 15% per year for 1 year, compounded every year (in ₹).
  9. 9.What is the difference between the compound interest and the simple interest on ₹17400 at 20% per year for 2 years (in ₹)?
  10. 10.A scooter is worth ₹53600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  11. 11.A scooter is worth ₹25000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  12. 12.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
  13. 13.Find the compound interest on ₹15000 at 20% per year for 3 years, compounded every year (in ₹).
  14. 14.What is the difference between the compound interest and the simple interest on ₹58000 at 25% per year for 2 years (in ₹)?
  15. 15.What amount will ₹42500 grow to in 2 years at 12% per year compound interest (in ₹)?
  16. 16.A town has 6800 people. The population grows by 12% every year. What will the population be after 1 year?
  17. 17.What amount will ₹42100 grow to in 2 years at 20% per year compound interest (in ₹)?
  18. 18.A scooter is worth ₹46900. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  19. 19.What amount will ₹33300 grow to in 1 year at 10% per year compound interest (in ₹)?
  20. 20.Find the compound interest on ₹24000 at 25% per year for 3 years, compounded every year (in ₹).
  21. 21.What amount will ₹58500 grow to in 3 years at 20% per year compound interest (in ₹)?
  22. 22.Find the compound interest on ₹48400 at 25% per year for 2 years, compounded every year (in ₹).
  23. 23.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
  24. 24.Find the compound interest on ₹57500 at 8% per year for 2 years, compounded every year (in ₹).
  25. 25.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  26. 26.What amount will ₹2500 grow to in 2 years at 8% per year compound interest (in ₹)?
  27. 27.Find the compound interest on ₹16000 at 10% per year for 3 years, compounded every year (in ₹).
  28. 28.A town has 4600 people. The population grows by 20% every year. What will the population be after 1 year?
  29. 29.What amount will ₹54800 grow to in 2 years at 25% per year compound interest (in ₹)?
  30. 30.What is the difference between the compound interest and the simple interest on ₹50000 at 12% per year for 2 years (in ₹)?
  31. 31.A scooter is worth ₹13600. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  32. 32.What amount will ₹8900 grow to in 1 year at 12% per year compound interest (in ₹)?
  33. 33.A scooter is worth ₹58700. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  34. 34.A town has 7200 people. The population grows by 10% every year. What will the population be after 1 year?
  35. 35.A town has 45000 people. The population grows by 8% every year. What will the population be after 2 years?
  36. 36.What amount will ₹15000 grow to in 2 years at 8% per year compound interest (in ₹)?
  37. 37.What amount will ₹11300 grow to in 1 year at 10% per year compound interest (in ₹)?
  38. 38.What amount will ₹19200 grow to in 1 year at 12% per year compound interest (in ₹)?
  39. 39.A town has 53000 people. The population grows by 4% every year. What will the population be after 1 year?
  40. 40.What amount will ₹9600 grow to in 2 years at 25% per year compound interest (in ₹)?

Answer key

  1. 23100
  2. 18522
  3. 208
  4. 12084
  5. 8303
  6. 1324
  7. 9261
  8. 3885
  9. 696
  10. 48374
  11. 18225
  12. 2522
  13. 10920
  14. 3625
  15. 53312
  16. 7616
  17. 60624
  18. 39865
  19. 36630
  20. 22875
  21. 101088
  22. 27225
  23. 88
  24. 9568
  25. 9826
  26. 2916
  27. 5296
  28. 5520
  29. 85625
  30. 720
  31. 12240
  32. 9968
  33. 52830
  34. 7920
  35. 52488
  36. 17496
  37. 12430
  38. 21504
  39. 55120
  40. 15000

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